Finding the Third Proportional to 9,770 and 21,648

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770 : 21,648 = 21,648 : x
2. Step 2: Convert to fraction form
   9,770/21,648 = 21,648/x
3. Step 3: Cross multiply
   9,770x = 21,648 × 21,648
4. Step 4: Simplify right side
   9,770x = 468,635,904
5. Step 5: Solve for x
   x = 468,635,904/9,770
6. Step 6: Final answer
   x = 47,966.83